Novel Scheme for Image Encryption Combining 2D Logistic-Sine-Cosine Map and Double Random-Phase Encoding

In this paper, we present a 2D Logistic-Sine-Cosine map (2D-LSCM) which is based on the classical 2D Logistic, Sine and Cosine maps. Performance analysis shows that it has larger chaotic range, bigger Lyapunov exponent and more complex chaotic behavior than the classical 2D Logistic map. By means of 2D-LSCM, Discrete Wavelet Transform (DWT) and Double Random-Phase Encoding (DRPE), we proposed an effective image encryption algorithm. In this scheme, after conducting DWT on the original image, the wavelet coefficients are scrambled by using the 2D-LSCM, and then the DRPE is employed to encode the scrambled result. Next, the Inverse Discrete Wavelet Transform (IDWT) is conducted on the encoded results. At last, the result from IDWT is diffused and confused with the chaos sequences generated from 2D-LSCM. Simulation results and security analysis reveal the fact that the proposed algorithm has good statistical property, large key space and effective resistance to common cryptanalytic attacks.

[1]  B Javidi,et al.  Optical image encryption based on input plane and Fourier plane random encoding. , 1995, Optics letters.

[2]  Xing-yuan Wang,et al.  BIFURCATION AND FRACTAL OF THE COUPLED LOGISTIC MAP , 2008 .

[3]  Jinhu Lu,et al.  On Cryptanalysis of Fridrich's chaotic image encryption scheme , 2016, ArXiv.

[4]  Xing-yuan Wang,et al.  Image encryption scheme using chaos and simulated annealing algorithm , 2016 .

[5]  M. Zarebnia,et al.  A combination chaotic system and application in color image encryption , 2017, ArXiv.

[6]  Zhenjun Tang,et al.  Secure Image Encryption without Size Limitation Using Arnold Transform and Random Strategies , 2011, J. Multim..

[7]  CHAOTIC CONTROL OF LOGISTIC MAP , 2008 .

[8]  Xiu-Li Chai,et al.  An image encryption algorithm based on bit level Brownian motion and new chaotic systems , 2015, Multimedia Tools and Applications.

[9]  Xin Zhang,et al.  A new chaotic algorithm for image encryption , 2006 .

[10]  Ye Zhang,et al.  A novel image compression–encryption hybrid algorithm based on the analysis sparse representation , 2017 .

[11]  Yiran Chen,et al.  A color image cryptosystem based on dynamic DNA encryption and chaos , 2019, Signal Process..

[12]  Yiran Chen,et al.  A novel chaos-based image encryption algorithm using DNA sequence operations , 2017 .

[13]  Rhouma Rhouma,et al.  Cryptanalysis of a spatiotemporal chaotic image/video cryptosystem , 2008 .

[14]  Xingyu Yan,et al.  Multi-image encryption scheme based on quantum 3D Arnold transform and scaled Zhongtang chaotic system , 2018, Quantum Information Processing.

[15]  Ruisong Ye,et al.  Image encryption scheme combining a modified Gerchberg–Saxton algorithm with hyper-chaotic system , 2018, Soft Comput..

[16]  Yu Zhang,et al.  Security enhancement of double random phase encoding using rear-mounted phase masking , 2018 .

[17]  Pradeep M. Patil,et al.  Robust and secured image-adaptive data hiding , 2012, Digit. Signal Process..

[18]  Yicong Zhou,et al.  2D Sine Logistic modulation map for image encryption , 2015, Inf. Sci..

[19]  Hongjun Liu,et al.  Asymmetric color image encryption scheme using 2D discrete-time map , 2015, Signal Process..

[20]  Mohamed Lamine Sahari,et al.  A pseudo-random numbers generator based on a novel 3D chaotic map with an application to color image encryption , 2018, Nonlinear Dynamics.

[21]  C. Chui,et al.  A symmetric image encryption scheme based on 3D chaotic cat maps , 2004 .

[22]  Chengqing Li,et al.  Cracking a hierarchical chaotic image encryption algorithm based on permutation , 2015, Signal Process..

[23]  Jun Lang,et al.  Color image encryption based on color blend and chaos permutation in the reality-preserving multiple-parameter fractional Fourier transform domain , 2015 .

[24]  Xingyuan Wang,et al.  Image encryption using DNA complementary rule and chaotic maps , 2012, Appl. Soft Comput..

[25]  Shouzhi Yang,et al.  Colour image encryption based on logistic mapping and double random-phase encoding , 2017, IET Image Process..

[26]  Yicong Zhou,et al.  Image encryption: Generating visually meaningful encrypted images , 2015, Inf. Sci..

[27]  Yicong Zhou,et al.  A new 1D chaotic system for image encryption , 2014, Signal Process..

[28]  Hao Jiang,et al.  Double-image compression and encryption algorithm based on co-sparse representation and random pixel exchanging , 2018, Optics and Lasers in Engineering.

[29]  Xing-Yuan Wang,et al.  A new image encryption algorithm based on non-adjacent coupled map lattices , 2015, Appl. Soft Comput..

[30]  Kwok-Wo Wong,et al.  A Fast Image Encryption Scheme based on Chaotic Standard Map , 2006, ArXiv.

[31]  Shouzhi Yang,et al.  Image Encryption Technique Combining Compressive Sensing with Double Random-Phase Encoding , 2018 .

[32]  Xiaoling Huang,et al.  An efficient symmetric image encryption algorithm based on an intertwining logistic map , 2017, Neurocomputing.

[33]  Kehui Sun,et al.  A fast image encryption algorithm based on chaotic map , 2016 .

[34]  Xiangjun Wu,et al.  A new color image encryption scheme based on DNA sequences and multiple improved 1D chaotic maps , 2015, Appl. Soft Comput..

[35]  Vinod Patidar,et al.  Image encryption using chaotic logistic map , 2006, Image Vis. Comput..

[36]  Hejiao Huang,et al.  2D Logistic-Sine-coupling map for image encryption , 2018, Signal Process..

[37]  Weiwei Chen,et al.  Bit-level quantum color image encryption scheme with quantum cross-exchange operation and hyper-chaotic system , 2018, Quantum Information Processing.

[38]  Kwok-Wo Wong,et al.  A chaotic image encryption scheme owning temp-value feedback , 2013, Commun. Nonlinear Sci. Numer. Simul..

[39]  X. Tong,et al.  An image encryption algorithm based on the perturbed high-dimensional chaotic map , 2015, Nonlinear Dynamics.

[40]  Xin Ge,et al.  Cryptanalysis of a spatiotemporal chaotic image/video cryptosystem and its improved version , 2011 .

[41]  Robert A. J. Matthews,et al.  On the Derivation of a "Chaotic" Encryption Algorithm , 1989, Cryptologia.

[42]  Rhouma Rhouma,et al.  Cryptanalysis of a new image encryption algorithm based on hyper-chaos , 2008 .

[43]  Li Yu,et al.  Optical image encryption by cascaded fractional Fourier transforms with random phase filtering , 2001 .